{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 Physical GPUs, 2 Logical GPUs\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "import graphgallery \n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# Set if memory growth should be enabled for ALL `PhysicalDevice`.\n",
    "graphgallery.set_memory_growth()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'2.1.0'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.4.0'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "graphgallery.__version__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load the Datasets\n",
    "+ cora\n",
    "+ citeseer\n",
    "+ pubmed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Downloaded dataset files have existed.\n",
      "Processing...\n",
      "Processing completed.\n"
     ]
    }
   ],
   "source": [
    "from graphgallery.data import Planetoid\n",
    "\n",
    "# set `verbose=False` to avoid these printed tables\n",
    "data = Planetoid('cora', root=\"~/GraphData/datasets/\", verbose=False)\n",
    "graph = data.graph\n",
    "idx_train, idx_val, idx_test = data.split()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'citeseer', 'cora', 'pubmed'}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.supported_datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:Large dropout rate: 0.6 (>0.5). In TensorFlow 2.x, dropout() uses dropout rate instead of keep_prob. Please ensure that this is intended.\n",
      "WARNING:tensorflow:Large dropout rate: 0.6 (>0.5). In TensorFlow 2.x, dropout() uses dropout rate instead of keep_prob. Please ensure that this is intended.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0/100 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:Large dropout rate: 0.6 (>0.5). In TensorFlow 2.x, dropout() uses dropout rate instead of keep_prob. Please ensure that this is intended.\n",
      "WARNING:tensorflow:Large dropout rate: 0.6 (>0.5). In TensorFlow 2.x, dropout() uses dropout rate instead of keep_prob. Please ensure that this is intended.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<Loss = 0.4996 Acc = 0.9500 Val_Loss = 0.9498 Val_Acc = 0.7960 >: 100%|██████████| 100/100 [00:01<00:00, 70.11it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:Large dropout rate: 0.6 (>0.5). In TensorFlow 2.x, dropout() uses dropout rate instead of keep_prob. Please ensure that this is intended.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<Loss = 0.1392 Acc = 0.9645 Val_Loss = 1.4482 Val_Acc = 0.8160 >: 100%|██████████| 100/100 [00:00<00:00, 107.53it/s]\n",
      "<Loss = 0.6728 Acc = 0.8792 Val_Loss = 0.9066 Val_Acc = 0.8000 >: 100%|██████████| 100/100 [00:00<00:00, 38.04it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test loss 0.75784, Test accuracy 83.20%\n"
     ]
    }
   ],
   "source": [
    "from graphgallery.nn.models import GMNN\n",
    "model = GMNN(graph, device='GPU', attr_transform=\"normalize_attr\", seed=123)\n",
    "model.build()\n",
    "# train with validation\n",
    "histories = model.train(idx_train, idx_val, verbose=1, epochs=100)\n",
    "# train without validation\n",
    "# his = model.train(idx_train, verbose=1, epochs=100)\n",
    "loss, accuracy = model.test(idx_test)\n",
    "print(f'Test loss {loss:.5}, Test accuracy {accuracy:.2%}')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Show model summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"model_1\"\n",
      "__________________________________________________________________________________________________\n",
      "Layer (type)                    Output Shape         Param #     Connected to                     \n",
      "==================================================================================================\n",
      "input_q (InputLayer)            [(None, 1433)]       0                                            \n",
      "__________________________________________________________________________________________________\n",
      "adj_matrix (InputLayer)         [(None, None)]       0                                            \n",
      "__________________________________________________________________________________________________\n",
      "graph_convolution_2 (GraphConvo (None, 16)           22928       input_q[0][0]                    \n",
      "                                                                 adj_matrix[0][0]                 \n",
      "__________________________________________________________________________________________________\n",
      "dropout_1 (Dropout)             (None, 16)           0           graph_convolution_2[0][0]        \n",
      "__________________________________________________________________________________________________\n",
      "graph_convolution_3 (GraphConvo (None, 7)            112         dropout_1[0][0]                  \n",
      "                                                                 adj_matrix[0][0]                 \n",
      "__________________________________________________________________________________________________\n",
      "node_index (InputLayer)         [(None,)]            0                                            \n",
      "__________________________________________________________________________________________________\n",
      "gather_1 (Gather)               (None, 7)            0           graph_convolution_3[0][0]        \n",
      "                                                                 node_index[0][0]                 \n",
      "==================================================================================================\n",
      "Total params: 23,040\n",
      "Trainable params: 23,040\n",
      "Non-trainable params: 0\n",
      "__________________________________________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualization Training "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 252x189 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 252x189 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 252x189 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NOTE: you must install SciencePlots package for a better preview.\n",
    "for his in histories:\n",
    "    with plt.style.context(['science', 'no-latex']):\n",
    "        plt.plot(his.history['acc'])\n",
    "        plt.plot(his.history['val_acc'])\n",
    "        plt.legend(['Train Accuracy', 'Val Accuracy'])\n",
    "        plt.ylabel('Accuracy')\n",
    "        plt.xlabel('Epochs')\n",
    "        plt.autoscale(tight=True)\n",
    "        plt.show()    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 252x189 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 252x189 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 252x189 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# NOTE: you must install SciencePlots package for a better preview.\n",
    "for his in histories:\n",
    "    with plt.style.context(['science', 'no-latex']):\n",
    "        plt.plot(his.history['loss'])\n",
    "        plt.plot(his.history['val_loss'])\n",
    "        plt.legend(['Train Loss', 'Val Loss'])\n",
    "        plt.ylabel('Loss')\n",
    "        plt.xlabel('Epochs')\n",
    "        plt.autoscale(tight=True)\n",
    "        plt.show()    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
